11311122201000 has 128 divisors (see below), whose sum is σ = 35294668306560. Its totient is φ = 3015960192000.

The previous prime is 11311122200993. The next prime is 11311122201061. The reversal of 11311122201000 is 10222111311.

11311122201000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27065632 + ... + 27480368.

It is an arithmetic number, because the mean of its divisors is an integer number (275739596145).

Almost surely, 2^{11311122201000} is an apocalyptic number.

11311122201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11311122201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17647334153280).

11311122201000 is an abundant number, since it is smaller than the sum of its proper divisors (23983546105560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11311122201000 is a wasteful number, since it uses less digits than its factorization.

11311122201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423852 (or 423838 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 11311122201000 its reverse (10222111311), we get a palindrome (11321344312311).

The spelling of 11311122201000 in words is "eleven trillion, three hundred eleven billion, one hundred twenty-two million, two hundred one thousand".